My Learning Cart
?
Categories
Account

The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?

Options:

  1. Yes
  2. No
  3. Only left
  4. Only right

Correct Answer: Yes

Solution: 

f(x) is a polynomial function, hence it is differentiable everywhere including at x = 1.

The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?

Practice Questions

Q1
The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?
  1. Yes
  2. No
  3. Only left
  4. Only right

Questions & Step-by-Step Solutions

The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?
  • Step 1: Identify the function f(x) = x^3 - 3x + 2.
  • Step 2: Recognize that f(x) is a polynomial function.
  • Step 3: Understand that polynomial functions are smooth and continuous.
  • Step 4: Know that smooth and continuous functions are differentiable everywhere.
  • Step 5: Conclude that since f(x) is a polynomial, it is differentiable at x = 1.
  • Differentiability of Polynomial Functions – Polynomial functions are differentiable everywhere on their domain, which includes all real numbers.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks